24x^2-6+12x=0

Simple and best practice solution for 24x^2-6+12x=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 24x^2-6+12x=0 equation: 


Simplifying
24x2 + -6 + 12x = 0

Reorder the terms:
-6 + 12x + 24x2 = 0

Solving
-6 + 12x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 2x + 4x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-1 + 2x + 4x2)' equal to zero and attempt to solve:

Simplifying
-1 + 2x + 4x2 = 0

Solving
-1 + 2x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-0.25 + 0.5x + x2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 0.5x + 0.25 + x2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 0.5x + x2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.5x + x2 = 0 + 0.25
0.5x + x2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
0.5x + x2 = 0.25

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = 0.25 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = 0.25 + 0.0625

Combine like terms: 0.25 + 0.0625 = 0.3125
0.0625 + 0.5x + x2 = 0.3125

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = 0.3125

Calculate the square root of the right side: 0.559016994

Break this problem into two subproblems by setting 
(x + 0.25) equal to 0.559016994 and -0.559016994.


Subproblem 1
x + 0.25 = 0.559016994

Simplifying
x + 0.25 = 0.559016994

Reorder the terms:
0.25 + x = 0.559016994

Solving
0.25 + x = 0.559016994

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = 0.559016994 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = 0.559016994 + -0.25
x = 0.559016994 + -0.25

Combine like terms: 0.559016994 + -0.25 = 0.309016994
x = 0.309016994

Simplifying
x = 0.309016994


Subproblem 2
x + 0.25 = -0.559016994

Simplifying
x + 0.25 = -0.559016994

Reorder the terms:
0.25 + x = -0.559016994

Solving
0.25 + x = -0.559016994

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = -0.559016994 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = -0.559016994 + -0.25
x = -0.559016994 + -0.25

Combine like terms: -0.559016994 + -0.25 = -0.809016994
x = -0.809016994

Simplifying
x = -0.809016994


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.309016994, -0.809016994}
Solution
x = {0.309016994, -0.809016994}

See similar equations:

| 4(7x-9)+6=82 | | 2.5x+0.5y=3 | | 5w-46forw=3 | | 3x^2+9x-264=0 | | -4/9(4.19)+4 | | -6n+5-5n=-61 | | -7265+185x=0 | | x^2-3x-7=3 | | -4k^2-15k+8=-5k^2-6k | | 2v+7=124 | | 4k^2-15k+8=-5k^2-6k | | 0=-10X^2+100X+12000 | | 8=y(y-4) | | 5x^2+x+18=4x^2+4-8x | | n^2-4n-7=-2 | | (x-p)(2x^2+9x+10)=(x^2-4)(2x+q) | | 2x+8y=180 | | 7c^2+35c+63=0 | | -.44(-.44)+4=Y | | 0.5x+2x=310 | | v^2=-10v-21 | | 9t-55=-1 | | x^2-6x+9+4x^2+36x+81=100 | | 47+(5/12)=100 | | 47+5/12x=162 | | (x-4/10)=(3/5) | | -3(-4.28)+7Y=-21 | | 500=25.00x+0.00 | | (x-4)/10=(3/5) | | 25.00x+0.00=203 | | -6x-4y=-4 | | x(3x+5)=22 |

Equations solver categories